Exact quantization of the scattering from a classically chaotic repellor

DOI PDF 被引用文献4件
  • Pierre Gaspard
    The James Franck Institute and Department of Chemistry, The University of Chicago, Chicago, Illinois 60637
  • Stuart A. Rice
    The James Franck Institute and Department of Chemistry, The University of Chicago, Chicago, Illinois 60637

書誌事項

公開日
1989-02-15
DOI
  • 10.1063/1.456019
公開者
AIP Publishing

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説明

<jats:p>The S matrix for the scattering of a point particle from three hard discs fixed on a plane is calculated exactly using Green’s theorem. The S matrix is obtained explicitly from S=I−iCM−1D, where the matrix M describes the multiple scattering between the three discs and the matrices C and D describe the free propagation from the edges of the three discs to large distances. The scattering resonances are located in the complex wave number plane as the zeros of the determinant of the matrix M, and their symmetry representations are determined. The results of this calculation are compared with the results obtained from the semiclassical approximation described in the preceding paper.</jats:p>

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